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What is the length of the hypotenuse of a right angle triangle when its area is 24 square cm and its perimeter is 24 cm giving clear details of your work?
Area = 1/2*base*height =24 cm2
Multiply both sides by 2: base*height = 48
Factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
The only above numbers that will satisfy the criteria for the area and perimeter of the triangle are 6 and 8 because:
Area = 1/2*6*8 = 24 cm2
Perimeter = 6+8+10 = 24 cm
Therefore the length of the hypotenuse is 10 cm because it's the longest side.
Check using Pythagoras' Theorem:
62+82 = 100 and the square root of this is 10
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What is the perimeter of a square whose one diagonal is 16cm?
To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.
What is the perimeter of a half acre?
Half an acre = 21780 sq feet.This could have a perimeter of any length greater than (or equal to) 523.16 feet.If the area is in the form of a circle of radius 83.26 feet, it will have the minimum perimeter of 523.16 feet.Or, you can have a square of 147.6 ft giving a perimeter of 590.3 ft,or a rectangle of 150 ft * 145.2 ft - perimeter = 590.4 ftor a rectangle of 100 ft * 217.8 ft - perimeter = 635.6 ftor a rectangle of 10 ft * 2178 ft - perimeter = 4376 ftor a rectangle of 1 ft * 21780 ft - perimeter of = 43562 ftetc, with the perimeter increasing without limit.Or, the area could be circular giving the minim590 feet.
What is the length of the altitude of the equilateral triangle?
The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.
What is the perimeter dimensions of 115 acres?
Any value greater than or equal to 7934.102 feet. The most compact shape would be a circular plot with radius 1262.752 feet and that would give a circumference (or perimeter) of 7934.102 feet. By flattening the circle you can increase the perimeter without limit. Similarly, 115 acres could be a square plot with sides of 2238.169 feet, giving the minimum perimeter (for a quadrilateral) of 8952.676 feet. But you could consider a rectangular plot of 22381.69 ft * 223.8169 ft with a perimeter of 45211.01 feet or 223816.9 ft * 22.38169 ft giving a perimeter of 447678.5 ft. or 2238169 ft * 2.238169 ft and a perimeter of 4476342 ft. etc.
What is a possible perimeter for a rectangle with an area of 81?
If it has an area of 81 square units it could be 1 unit x 81 units giving a perimeter of 2 x (1 + 81) = 164 units;It could be 3 units by 27 units giving a perimeter of 2 x (3 + 27) = 60 units;There are many other possibilities, most with non-whole number lengths of the sides.
What is the perimeter of a square whose one diagonal is 16cm?
To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.
Sides of traingle giving equal permeter and area?
I am assuming that "traingle" is meant to be triangle and "permeter" is meant to be perimeter.The area of a triangle cannot be equal to its perimeter because the area is a measure in 2-dimensional space whereas a perimeter is a 1-dimensional measure. So their dimensions will always be different.Furthermore, the area of a triangle is not determined by its perimeter. The area of a triangle can be changed - without affecting its perimeter - simply by changing the angles.
Can you find the length of the hypotenuse of a right angled triangle with an area of XXIIII square inches and a height of VIII inches giving details of your work?
First find the length of the base: base = area times 2 divided by height base = 24 times 2 divided by 8 = 6 inches Then use Pythagoras' Theorem to find length of the hypotenuse: base2 + height2 = hypotenuse2 62 + 82 = 100 square inches. Square root of 100 = 10 inches. Therefore the length of the hypotenuse is X inches.
Can you work out the area of an equilateral triangle with a perimeter of XXVII inches giving details of your work?
XXVII = 27 An equilateral triangle with a perimeter of 27 inches has three equal sides of 9 inches. Area of a triangle = base times its perpendicular height divided by 2. An equilateral triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can find its height by using Pythagoras' Theorem: hypotenuse2 - base2 = height2 92-4.52 = 60.75 square inches. Square root of 60.75 = 7.794228634 inches. Area = 9x7.794228634/2 = 35.07402885 square inches. Therefore area of an equilateral triangle with a perimeter of 27 inches is 35.074 square inches correct to 3 decimal places. Answered by David Gambell, Merseyside, England.
The side length of an equilateral triangle is x plus 3 write an expression for the perimeter of a triangle?
In an equilateral triangle, all 3 sides are the same length, so your equation would look something like this: P=the perimeter of the triangle (x+3)=length of each side P=3(x+3) If you wanted to simplify further, you would distribute the 3 to both the x and the 3 inside of the parentheses, giving you P=3x+9.
Greek mathematician famous for giving a relation between the hypotenuse and the remainingsides of angle?
Pythagoras
What is the perimeter of 5.50 square meters?
The smallest perimeter possible is if the shape is a circle of radius 1.32 metres (approx). This gives a perimeter of 8.313 metres. If the shape is a rectangle, it will have minimum perimeter when it is a square with sides of 2.34 metres, giving a perimeter of 9.381 metres. But it cound be a rectangle with width 0.001 metres and length of 5500 metres giving a perimeter of just over 11 KILOmetres. The perimeter can be increased without limit.
What is the perimeter of the triangle 10 inches by 17 inches by 21 inches?
The perimiter of a shape is the distance around its edge, in this case 10 +17 + 21 giving a total of 48 inches, or four feet if you want to convert it.
What is the perimeter of a right angle triangle whose vertices are at 2 3 and 4 9 and 5 2 giving your answer in surd form?
The lengths of the sides of the triangle are: 2*sq rt of 10, 5*sq rt of 2 and sq rt of 10 The 3 sides added together equals the perimeter which works out as 3* sq rt of 10 plus 5*sq rt of 2 in surd form
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What is the formula to find hypotenuse of a right triangle with 2 angles given?
Depending on which two angles you are talking about (all angles are given if it is a right triangle with 2 other angles given) you can use simple Trig functions to find the hypotenuse. For instance, you have a triangle with sides a, b, c. a=3 b=4 c=hypotenuse You can have either one given and the other one a mystery it does not matter. What does matter is which angle is given. Probably one other than the 90 degree angle in all right triangles. For this instance pretend we didn't have (b) and we only have (a). In between the angle(a,c) we have approx. 37 degrees. If you input that into the reciprocal of sin you will get 1/(sin37) = csc37 = 1.661 or approx 1.666 repeating. Multiply that number by your (a) since csc (cosecant) is your hypotenuse (c) divided by your other length included with the angle (a). Doing so will seclude the hypotenuse to one side of the equation, therefore giving you the answer. If you multiply 1.666 by three you get 5, which is what you get if you take the root of 32 + 42.
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giving the important things details
